UIIC ASSISTANT RECRUITMENT Numerical Ability Study Material

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Time And Work

16 men are able to complete a work in 12 days working 14 h a day. How long will 28 men working 12 h a day, take to complete the work ?

Correct Answer Is : 8 days

Smita can finish a work in 12 days and Shyam can finish the same work in 9 days. After working together for 4 days they both leave the job. What is the fraction of unfinished work?

a) 1/7
b) 5/9
c) 2/9
d) 3/ 4

✔Answer

✔Solution

Correct Answer Is : 2/9

Solution Is : Smita can finish a work in 12 days
Per day work of Smita = 1/12
Shyam can finish the same work in 9 days
Per day work of Shyam = 1/9
Per day work done if both work together = 1/12 + 1/9
= 3+4 /36 = 7/36
If they work for 4 days = 4 x 7/36 = 7/9
Remaining unfinished work = 1 - 7/9 = 2/9

8men can paint a house in 5 days. How many men will be required to paint the same house in 4 days?

Raja can do a piece of work in 20 days while Ramesh can finish it in 25 days. Ramesh started working and Raja joined him after 10 days. The whole work is completed in

a) 15 days
b) 18 days
c) 20 days
d) 16 2/3 days

✔Answer

✔Solution

Correct Answer Is : 16 2/3 days

Solution Is : Raja can do a piece of work in 20 days.
Work done by Raja in a day = 1/20
Ramesh can finish the work in 25 days work done by Ramesh in a day = 1/25
Ramesh started working and Raja joined him after 10 days. It means Ramesh work alone for 10 days and after 10 days the remaining work is completed by both Ramesh and Raja.
So, Ramesh 10 days work = 1/25 * 10 = 2/5
Now the remaining work (1 - 2/5 ) = 3/5
Ramesh and Raja one day work = 1/25 + 1/20 = 4 + 5/100 = 9/100
Remaining work completed by Ramesh and Raja
= 3/5/9/100 = 3/5 * 100/9 = 20/3
Whole work is completed in = 10 + 20/3 = 50/3 = 162/3 days.

In a house there are eight 40 watt bulbs Which are burning for 5hrs a day and four 80 watt bulbs burning for 10 hrs a day. If electricity costs 2 per kilowatt per hour, What is the monthly bill?

a) 328
b) 216
c) 268
d) 288

✔Answer

✔Solution

Correct Answer Is : 288

Solution Is :

A and B together can complete a piece of work in 18 days, B and C in 24 days and A and
C in 36 days. In how many days, will all of them together complete the work ?

a) 16
b) 15
c) 12
d) 10

✔Answer

✔Solution

Correct Answer Is : 16

Solution Is :

A can complete 2/3 of a work in 4 days and B can complete 3/5 of the work in 6 days. In
how many days can both A and B together complete the work ?

a) 3
b) 2
c) 3.75
d) 2.875

✔Answer

✔Solution

Correct Answer Is : 3.75

Solution Is :

If A and B can finish a piece of work in 20 days. B and C in 10 days and C and A in 12 days . Then, A , B and C joinly can finish the same work in